493146720 has 288 divisors, whose sum is σ = 1856784384. Its totient is φ = 118195200.

The previous prime is 493146697. The next prime is 493146781. The reversal of 493146720 is 27641394.

493146720 is a `hidden beast` number, since 493 + 146 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2581825 + ... + 2582015.

It is an arithmetic number, because the mean of its divisors is an integer number (6447168).

Almost surely, 2^493146720 is an apocalyptic number.

493146720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 493146720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (928392192).

493146720 is an abundant number, since it is smaller than the sum of its proper divisors (1363637664).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

493146720 is a wasteful number, since it uses less digits than its factorization.

493146720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 493146720 is about 22206.9070336236. The cubic root of 493146720 is about 790.0575293254.

The spelling of 493146720 in words is "four hundred ninety-three million, one hundred forty-six thousand, seven hundred twenty".